SHM in Vertical Spring Block

Q.

What is the difference between stable, unstable and neutral equilibrium? what is equilibrium?

Q.

A block is resting on a piston which is moving vertically with SHM of period 1 s. What is the minimum amplitude to be given to it so that the block and piston can separate?

1. 0.25 m

2. 0.3 m

3. 0.35 m

4. 0.2 m

Q. a stretched string is 1m long .its mass per unit length is 0.5 gram per metre .it is a stretched with a force of 20 newton It plucked at a dis†an ce of 25cm from one and the frequency of note emitted by it will be

Q. a thin rod of mass m and length l is suspended from one of its ends.it is set into oscillation about a horizontal axis.its angular speed is omega while passing through its mean position .how high will its centre of mass rise from its lowest position?WHY I IS TAKEN AS mL^2/3?

Q.

A mass m is suspended by means of two coiled spring which have the same length in unstretched condition as in figure. Their force constant are $k_1$ and $k_2$ respectively. When set into vertical vibrations, the period will be

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3. 

4. 

Q. The amplitudes of oscillations of two simple pendulums similar in all respects are 2cm and 5cm respectively. Find the ratio of their energies of oscillations

Q.

Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is

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3. 

4. 

Q.

An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released suddenly with the spring initially unstretched. Then the maximum extension in the spring is

1. 4Mg/k

2. 2Mg/k

3. Mg/k

4. Mg/2k

Q.

A spring-mass system (mass $m$, spring constant $k$ and natural length $l$) rest in equilibrium on a horizontal disc. The free end of the spring is fixed at the centre of the disc. If the disc together with spring-mass system, rotates about its axis with an angular velocity $(k>>>m^2)$, the relative change in the length of the spring is best given by the option:

1. $\frac{m{\omega }^2}{3k}$

2. $\sqrt{\frac{2}{3}}\frac{m{\omega }^2}{k}$

3. $\frac{m{\omega }^2}{k}$

4. $\frac{2m{\omega }^2}{k}$

Q. A mass of 0.98 kg suspended using a spring of constant k=300N/m is hit by a bullet of 20g moving with a velocity 3m/s vertically. The bullet gets embedded and oscillates with the mass.The amplitude of oscillation is

Q.

Two point masses of 3 Kg and 2 Kg are attached at the two ends of a horizontal spring with spring constant k=200N/m. Find the natural frequency of vibration of the system.

1. 1.9 Hz

2. 2.17 Hz

3. 3.15 Hz

4. 2.05 Hz

Q. simple pendulum has a bob suspended by aninextensible thread of length 1 metre from a pointA of suspension. At the extreme position ofoscillation, the thread is suddenly caught byapeg at a point B distant (1/4) m from A and thebob begins to oscillate in the new condition. Thechange in frequency of oscillation of the pendulumis approximately given by (g 10 m/s2)10Hz4/1010HzHz

Q. A particle executes SHM with frequency f. Find frequency with which its kinetic energy oscillates

Q. The frequency of oscillations of mass m suspended by a spring is v1 if length of spring is cut to one third then the same mass oscillated with frequency v2 then

Q. A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body ?

Q.

What is a normal spring constant value?

Q. 91.As shown in figure two identical springs of spring constant K each & mass 3 m each are tied to a block of mass m as shown in figure. The time period of oscillation of the system is

Q. A platform (plank) with a mass m placed on it, executes vertical simple-harmonic motion according to equation, , where ω and t are in rad s–1 and second respectively. Maximum value of angular frequency(ω) for which the mass does not detach itself from the platform is

Q. During oscillation velocity of particle is maximum at mean position . How ?

Q.

A mass of 0.3 Kg is attached to the end of a spring. If another mass of 0.04 Kg is added to the end of the spring, it stretches by 12 cm more. What would be the period of vibration of the system if 0.04 kg mass is removed?

1. 1.9 s

2. 1.7 s

3. 2.1 s

4. 2.2 s

Q. 2948. A block of mass m hangs from three springshaving same spring constant k. If the mass isslightly displaced downwards, the time period ofoscillation will be3m2k3k2Tt2Tt(4) 23k

Q. 27.Two masses M1 equals to 1 kg and m2 is equal 0.5 kg are suspended Together by a massless spring of spring constant 12.5 Newton per metre when masses are in equilibrium m1 is removed without disturbing the system new amplitude of the oscillation will be 1)30cm 2)50cm 3)80cm 4)60cm

Q. a uniform rod of length 4m is suspended through its one end and is set into oscillations with small amplitude under gravity .the time period of oscillation i

Q. 48. A simple pendulum has a bob suspended by length 1m from a point A of suspension. at extreme position of oscillation the thread is suddenly caught by peg at point B distant 0.25 m from A and bob begins to oscillate in new condition. the change in frequency is

Q. Two springs A and B have force constants $k_{1}and{k}_2$ respectively. The ratio of the work done on A to that done on B in increasing their length by the same amount is

1. $\frac{k_1}{k_2}$
2. $\sqrt{\frac{k_1}{k_2}}$
3. $\frac{k_2}{k_1}$
4. $\sqrt{\frac{k_2}{k_1}}$

Q. 28. Two masses m, 1 kg and m2 0.5 kg are suspended together by a massless spring of spring constant 12.5 Nm-1. When masses are in equilibrium m, is removed without disturbing the system. New amplitude of oscillation will be (1) 30 cm (3) 80 cm (2) 50 cm (4) 60 cm

Q.

A spring is loaded with two blocks $m_1$ and $m_2$ where $m_1$ is rigidly fixed with the spring and $m_2$ is just kept on the block $m_1$ as shown in the figure. The maximum energy of oscillation that is possible for the system having the block $m_2$ in contact with $m_1$ is

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4. $\frac{(m_1+m_2{)}^2{g}^2}{k}$

Q. Two particles executing SHM of same frequencymeet at x +A/2, while moving in oppositedirections. Phase difference between the particle

Q. A thin rod of mass m and lengthfrom one of its ends. It is set into oscillation abouta horizontal axis. Its angular speed is o whilepassing through its mean position. How high will itscentre of mass rise from its lowest position?suspended

Q. A body of mass $m$ hangs from a smooth fixed pulley $P_1$ by an inextensible string fitted with the springs of stiffness constants $k_1$ and $k_3$ The string passes over a smooth light pulley $P_2$ , which is connected with another ideal spring of stiffness constant $k_2$. Find the period of small oscillations of the body.

1. $T=2\pi {\left(m(\frac{2}{k_1}+\frac{4}{k_2}+\frac{2}{k_3})\right)}^{\frac{1}{2}}$
2. $T=2\pi {\left(m(\frac{1}{k_1}+\frac{4}{k_2}+\frac{1}{k_3})\right)}^{\frac{1}{2}}$
3. $T=2\pi {\left(m(\frac{2}{k_1}+\frac{2}{k_2}+\frac{2}{k_3})\right)}^{\frac{1}{2}}$
4. $T=2\pi {\left(m(\frac{1}{k_1}+\frac{1}{k_2}+\frac{1}{k_3})\right)}^{\frac{1}{2}}$